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Solution of system of fractional differential equations by Adomian decomposition method

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Abstract

The aim of this paper is to apply the relatively new Adomian decomposition method to solving the system of linear fractional, in the sense of Riemann-Liouville and Caputo respectively, differential equations. The solutions are expressed in terms of Mittag-Leffler functions of matric argument. The Adomian decomposition method is straightforward, applicable for broader problems and avoids the difficulties in applying integral transforms. As the order is 1, the result here is simplified to that of first order differential equation.

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Authors and Affiliations

  1. College of Science, Tianjin University of Commerce, Tianjin, 300134, China

    Duan Junsheng & An Jianye

  2. Institute of Mathematics and Systematical Science, Shandong University, Jianan, 250100, China

    Xu Mingyu

Authors
  1. Duan Junsheng
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  2. An Jianye
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  3. Xu Mingyu
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Additional information

Supported by the NNSF of China(10272067;10461005) and the Scientific Research Foundation of Tianjin Education Committee(20050404).

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Duan, J., An, J. & Xu, M. Solution of system of fractional differential equations by Adomian decomposition method. Appl. Math. Chin. Univ. 22, 7–12 (2007). https://doi.org/10.1007/s11766-007-0002-2

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  • DOI: https://doi.org/10.1007/s11766-007-0002-2

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